Answer
$-5a^{7}b^{3}$
Work Step by Step
Start with given expression: $\frac{35a^{14}b^{6}}{-7a^{7}b^{3}}$
Separate fractions with like terms: $\frac{35}{-7}\times\frac{a^{14}}{a^{7}}\times\frac{b^{6}}{b^{3}}$
Divide and use quotient rule on fractions: $-5a^{7}b^{3}$